यदि दो मानदंडों में 6 उम्मीदवारों के कोटि अंतर के वर्गों का योग 21 है, तो कोटि सहसंबंध गुणांक __________ है।

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 0.5
  2. 0.6
  3. 0.4
  4. 0.7

Answer (Detailed Solution Below)

Option 3 : 0.4
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सूत्र

स्पीयरमैन का कोटि सहसंबंध गुणांक ρ द्वारा दर्शाया गया है

ρ = 1 – [6∑d2/n(n2 – 1)]

d = x और y चर के भुगतान किए गए वस्तुओं के कोटि का अंतर

∑d2 = कोटि अंतर के वर्गों का योग

n = वस्तुओं के युग्मों की संख्या

दिया गया है

∑d2 = ∑(R1 – R2)2 = 21

n = 6

गणना

ρ = 1 – [6 × 21/6(62 – 1)

ρ = 1 – 21/35

ρ = 14/35

∴ कोटि सहसंबंध गुणांक 0.4 है​।

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